Cluster projective synchronization of complex networks with nonidentical dynamical nodes  

作　　者：姚洪兴 王树国 

机构地区：[1]School of Finance&Economics,Jiangsu University [2]Faculty of Science,Jiangsu University [3]Department of Mathematics and Physics,Changzhou Campus Hohai University

出　　处：《Chinese Physics B》2012年第11期132-138,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 70871056 and 71271103);the Six Talents Peak Foundation of Jiangsu Province,China

摘　　要：We investigate a new cluster projective synchronization （CPS） scheme in time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community, which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projectively synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight configuration matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.We investigate a new cluster projective synchronization （CPS） scheme in time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community, which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projectively synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight configuration matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

关 键 词：cluster projective synchronization complex network time-varying delay adaptive con-troller 

分 类 号：O231[理学—运筹学与控制论] O157.5[理学—数学]